<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Two very well-known tests for normality, the Kolmogorov-Smirnov and the Shapiro- Wilk tests, are considered. Both of them may be normalized using Johnson’s (1949) SB distribution. In this paper, functions for normalizing constants, dependent on the sample size, are given. These functions eliminate the need to use non-standard statistical tables with normalizing constants, and make it easy to obtain p-values for testing normality.</p></abstract>

Two very well-known tests for normality, the Kolmogorov-Smirnov and the Shapiro- Wilk tests, are considered. Both of them may be normalized using Johnson’s (1949) SB distribution. In this paper, functions for normalizing constants, dependent on the sample size, are given. These functions eliminate the need to use non-standard statistical tables with normalizing constants, and make it easy to obtain p-values for testing normality.

Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality

Department of Applied Mathematics and Computer Science, University of Life Sciences in Lublin, Głęboka 28, 20-612 Lublin, Poland

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Two very well-known tests for normality, the Kolmogorov-Smirnov and the Shapiro- Wilk tests, are considered. Both of them may be normalized using Johnson’s...

Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality

Published Online: Dec 12, 2015

Page range: 85 - 93

DOI: https://doi.org/10.1515/bile-2015-0008

Keywords
Shapiro-Wilk W test, Kolmogorov-Smirnov test, normality, Johnson’s SB transformation

© by Zofia Hanusz

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Normalization of the Kolmogorov–Smirnov and Shapiro–Wilk tests of normality

Published Online: Dec 12, 2015

Page range: 85 - 93

DOI: https://doi.org/10.1515/bile-2015-0008

KeywordsShapiro-Wilk W test, Kolmogorov-Smirnov test, normality, Johnson’s SB transformation

© by Zofia Hanusz

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Shapiro-Wilk W test, Kolmogorov-Smirnov test, normality, Johnson’s SB transformation